8th Grade MAT Targeted Standards Domain (EE) Expressions and Equations Cluster: Work with radicals and integer exponents

MAT-08.EE.02 Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Student Learning Targets:

Knowledge Targets

I can use square root symbols to represent solutions to equations in the form x² = p where p is a positive rational number.

I can use cube root symbols to represent solutions to equations in the form x³ = p where p is a positive rational number.

I can recognize that squaring a number and taking the square root of a number are inverse operations.

I can recognize that cubing a number and taking the cube root of a number are inverse operations.

Reasoning Targets

I can evaluate the square root of a perfect square.

I can evaluate the cube root of a perfect cube.

I can explain why the square root of a non-perfect square is irrational.